Geometric Syzygies of Elliptic Normal Curves and their Secant Varieties

2003/04/22 by Hans-Christian v. Bothmer, Hans-Christian Graf v. Bothmer, Klaus Hulek
Mathematics · #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #Geometry and complex manifolds #math.AG #msc:13D02 #msc:14C20 #msc:14H52

paper · pdf · doi:10.1007/s00229-003-0421-1

published as manuscripta mathematica, Volume 113, Number 1, Jan. 2004, pp 35-68 · 31 Pages; AMSlatex

arxiv created 2003/04/22 · openalex publication_date 2004/01/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We show that the linear syzygy spaces of elliptic normal curves, their secant varieties and of bielliptic canonical curves are spanned by geometric syzygies.

Related

• Geometric Syzygies of Canonical Curves of even Genus lying on a K3-Surface
• The Rank of Syzygies of Canonical Curves
• The Geometric Syzygy Conjecture in Positive Characteristic
• The Geometric Syzygy Conjecture in Even Genus
• Equations and syzygies of the first secant variety to a smooth curve